Answer:
Average rate of change =250
Step-by-step explanation:
Formula to determine average rate of change of the function,
Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Where [tex]x_1[/tex] and [tex]x_2[/tex] are the points representing number of years after year 2000.
Since [tex]x_1[/tex] = 5 and [tex]x_2=19[/tex],
[tex]f(x_2)=650[/tex]
And [tex]f(x_1)=300[/tex]
Now average rate of change = [tex]\frac{650-300}{19-5}[/tex]
= [tex]\frac{350}{14}[/tex]
= 250
Therefore, average rate of change of the number of influenza cases from 2005 to 2019 is 250.
